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Finding the Third Proportional to 3,053,882,569,241 and 6,643,935,765,094

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Solution

The third proportional to 3,053,882,569,241 and 6,643,935,765,094 is: 14,454,348,341,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,053,882,569,241 : 6,643,935,765,094 = 6,643,935,765,094 : x
  2. Step 2: Convert to fraction form
    3,053,882,569,241/6,643,935,765,094 = 6,643,935,765,094/x
  3. Step 3: Cross multiply
    3,053,882,569,241x = 6,643,935,765,094 × 6,643,935,765,094
  4. Step 4: Simplify right side
    3,053,882,569,241x = 44,141,882,450,695,193,513,426,944
  5. Step 5: Solve for x
    x = 44,141,882,450,695,193,513,426,944/3,053,882,569,241
  6. Step 6: Final answer
    x = 14,454,348,341,778.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.